1J. Alakuijala 2Z. Szabadka 3 ______ _______ _______ _______ _________ 4 ( __ \ ( ____ )( ___ )( ____ \\__ __/ 5 | ( \ )| ( )|| ( ) || ( \/ ) ( 6 | | ) || (____)|| (___) || (__ | | 7 | | | || __)| ___ || __) | | 8 | | ) || (\ ( | ( ) || ( | | 9 | (__/ )| ) \ \__| ) ( || ) | | 10 (______/ |/ \__/|/ \||/ )_( 11 12 13 DRAFT of 14 Brotli Compression Algorithm Compressed Data Format Specification 1.0 15 16Status of This Memo 17 18 This memo provides information for the Internet community. This memo 19 does not specify an Internet standard of any kind. Distribution of 20 this memo is unlimited. 21 22Notices 23 24 Copyright (c) 2013 J. Alakuijala and Z. Szabadka 25 26 Permission is granted to copy and distribute this document for any 27 purpose and without charge, including translations into other 28 languages and incorporation into compilations, provided that the 29 copyright notice and this notice are preserved, and that any 30 substantive changes or deletions from the original are clearly 31 marked. 32 33Abstract 34 35 This specification defines a lossless compressed data format that 36 compresses data using a combination of the LZ77 algorithm and Huffman 37 coding, with efficiency comparable to the best currently available 38 general-purpose compression methods. 39 401. Introduction 41 42 1.1. Purpose 43 44 The purpose of this specification is to define a lossless 45 compressed data format that: 46 * Is independent of CPU type, operating system, file system, 47 and character set, and hence can be used for interchange; 48 * Can be produced or consumed, even for an arbitrarily long 49 sequentially presented input data stream, using only an a 50 priori bounded amount of intermediate storage, and hence 51 can be used in data communications or similar structures, 52 such as Unix filters; 53 * Compresses data with efficiency comparable to the best 54 currently available general-purpose compression methods, 55 and in particular considerably better than the gzip program; 56 * Decompresses much faster than the LZMA implementations. 57 58 The data format defined by this specification does not attempt to: 59 * Allow random access to compressed data; 60 * Compress specialized data (e.g., raster graphics) as well 61 as the best currently available specialized algorithms. 62 63 1.2. Intended audience 64 65 This specification is intended for use by software implementers 66 to compress data into and/or decompress data from "brotli" format. 67 68 The text of the specification assumes a basic background in 69 programming at the level of bits and other primitive data 70 representations. Familiarity with the technique of Huffman coding 71 is helpful but not required. 72 73 This specification uses heavily the notations and terminology 74 introduced in the DEFLATE format specification (RFC 1951, see 75 reference [3] below). For the sake of completeness, we always 76 include the whole text of the relevant parts of RFC 1951, 77 therefore familiarity with the DEFLATE format is helpful but not 78 required. 79 80 1.3. Scope 81 82 The specification specifies a method for representing a sequence 83 of bytes as a (usually shorter) sequence of bits, and a method for 84 packing the latter bit sequence into bytes. 85 86 1.4. Compliance 87 88 Unless otherwise indicated below, a compliant decompressor must be 89 able to accept and decompress any data set that conforms to all 90 the specifications presented here. A compliant compressor must 91 produce data sets that conform to all the specifications presented 92 here. 93 94 1.5. Definitions of terms and conventions used 95 96 Byte: 8 bits stored or transmitted as a unit (same as an octet). 97 For this specification, a byte is exactly 8 bits, even on machines 98 which store a character on a number of bits different from eight. 99 See below for the numbering of bits within a byte. 100 101 String: a sequence of arbitrary bytes. 102 103 Bytes stored within a computer do not have a "bit order", since 104 they are always treated as a unit. However, a byte considered as 105 an integer between 0 and 255 does have a most- and least- 106 significant bit, and since we write numbers with the most- 107 significant digit on the left, we also write bytes with the most- 108 significant bit on the left. In the diagrams below, we number the 109 bits of a byte so that bit 0 is the least-significant bit, i.e., 110 the bits are numbered: 111 112 +--------+ 113 |76543210| 114 +--------+ 115 116 Within a computer, a number may occupy multiple bytes. All 117 multi-byte numbers in the format described here are stored with 118 the least-significant byte first (at the lower memory address). 119 For example, the decimal number 520 is stored as: 120 121 0 1 122 +--------+--------+ 123 |00001000|00000010| 124 +--------+--------+ 125 ^ ^ 126 | | 127 | + more significant byte = 2 x 256 128 + less significant byte = 8 129 130 131 1.5.1. Packing into bytes 132 133 This document does not address the issue of the order in which 134 bits of a byte are transmitted on a bit-sequential medium, 135 since the final data format described here is byte- rather than 136 bit-oriented. However, we describe the compressed block format 137 below as a sequence of data elements of various bit 138 lengths, not a sequence of bytes. We must therefore specify 139 how to pack these data elements into bytes to form the final 140 compressed byte sequence: 141 142 * Data elements are packed into bytes in order of 143 increasing bit number within the byte, i.e., starting 144 with the least-significant bit of the byte. 145 * Data elements other than Huffman codes are packed 146 starting with the least-significant bit of the data 147 element. 148 * Huffman codes are packed starting with the most- 149 significant bit of the code. 150 151 In other words, if one were to print out the compressed data as 152 a sequence of bytes, starting with the first byte at the 153 *right* margin and proceeding to the *left*, with the most- 154 significant bit of each byte on the left as usual, one would be 155 able to parse the result from right to left, with fixed-width 156 elements in the correct MSB-to-LSB order and Huffman codes in 157 bit-reversed order (i.e., with the first bit of the code in the 158 relative LSB position). 159 1602. Compressed representation overview 161 162 A compressed data set consists of a header and a series of meta- 163 blocks corresponding to successive meta-blocks of input data. The 164 meta-block sizes are limited to bytes and the maximum meta-block size 165 is 268,435,456 bytes. 166 167 The header contains the size of a sliding window on the input data 168 that is sufficient to keep on the intermediate storage at any given 169 point during decoding the stream. 170 171 Each meta-block is compressed using a combination of the LZ77 172 algorithm (Lempel-Ziv 1977, see reference [2] below) and Huffman 173 coding. The Huffman trees for each block are independent of those for 174 previous or subsequent blocks; the LZ77 algorithm may use a 175 reference to a duplicated string occurring in a previous meta-block, 176 up to sliding window size input bytes before. 177 178 Each meta-block consists of two parts: a meta-block header that 179 describes the representation of the compressed data part, and a 180 compressed data part. The compressed data consists of a series of 181 commands. Each command consists of two parts: a sequence of literal 182 bytes (of strings that have not been detected as duplicated within 183 the sliding window), and a pointer to a duplicated string, 184 represented as a pair <length, backward distance>. 185 186 Each command in the compressed data is represented using three kinds 187 of Huffman codes: one kind of code tree for the literal sequence 188 lengths (also referred to as literal insertion lengths) and backward 189 copy lengths (that is, a single code word represents two lengths, 190 one of the literal sequence and one of the backward copy), a separate 191 kind of code tree for literals, and a third kind of code tree for 192 distances. The code trees for each meta-block appear in a compact 193 form just before the compressed data in the meta-block header. 194 195 The sequence of each type of value in the representation of a command 196 (insert-and-copy lengths, literals and distances) within a meta- 197 block is further divided into blocks. In the "brotli" format, blocks 198 are not contiguous chunks of compressed data, but rather the pieces 199 of compressed data belonging to a block are interleaved with pieces 200 of data belonging to other blocks. Each meta-block can be logically 201 decomposed into a series of insert-and-copy length blocks, a series 202 of literal blocks and a series of distance blocks. These are also 203 called the three block categories: a meta-block has a series of 204 blocks for each block category. Note that the physical structure of 205 the meta-block is a series of commands, while the three series of 206 blocks is the logical structure. Consider the following example: 207 208 (IaC0, L0, L1, L2, D0)(IaC1, D1)(IaC2, L3, L4, D2)(IaC3, L5, D3) 209 210 The meta-block here has 4 commands, and each three types of symbols 211 within these commands can be rearranged for example into the 212 following logical block structure: 213 214 [IaC0, IaC1][IaC2, IaC3] <-- block types 0 and 1 215 216 [L0, L1][L2, L3, L4][L5] <-- block types 0, 1, and 0 217 218 [D0][D1, D2, D3] <-- block types 0 and 1 219 220 The subsequent blocks within each block category must have different 221 block types, but blocks further away in the block sequence can have 222 the same types. The block types are numbered from 0 to the maximum 223 block type number of 255 and the first block of each block category 224 must have type 0. The block structure of a meta-block is represented 225 by the sequence of block-switch commands for each block category, 226 where a block-switch command is a pair <block type, block length>. 227 The block-switch commands are represented in the compressed data 228 before the start of each new block using a Huffman code tree for 229 block types and a separate Huffman code tree for block lengths for 230 each block category. In the above example the physical layout of the 231 meta-block is the following: 232 233 IaC0 L0 L1 LBlockSwitch(1, 3) L2 D0 IaC1 DBlockSwitch(1, 1) D1 234 IaCBlockSwitch(1, 2) IaC2 L3 L4 D2 IaC3 LBlockSwitch(0, 1) D3 235 236 Note that the block switch commands for the first blocks are not part 237 of the meta-block compressed data part, they are encoded in the meta- 238 block header. The code trees for block types and lengths (total of 239 six Huffman code trees) appear in a compact form in the meta-block 240 header. 241 242 Each type of value (insert-and-copy lengths, literals and distances) 243 can be encoded with any Huffman tree from a collection of Huffman 244 trees of the same kind appearing in the meta-block header. The 245 particular Huffman tree used can depend on two factors: the block 246 type of the block the value appears in, and the context of the value. 247 In the case of the literals, the context is the previous two bytes in 248 the input data, and in the case of distances, the context is the copy 249 length from the same command. For insert-and-copy lengths, no context 250 is used and the Huffman tree depends only on the block type (in fact, 251 the index of the Huffman tree is the block type number). In the case 252 of literals and distances, the context is mapped to a context ID in 253 the rage [0, 63] for literals and [0, 3] for distances and the matrix 254 of the Huffman tree indices for each block type and context ID, 255 called the context map, is encoded in a compact form in the meta- 256 block header. 257 258 In addition to the parts listed above (Huffman code trees for insert- 259 and-copy lengths, literals, distances, block types and block lengths 260 and the context map), the meta-block header contains the number of 261 input bytes in the meta-block and two additional parameters used in 262 the representation of copy distances (number of "postfix bits" and 263 number of direct distance codes). 264 2653. Compressed representation of Huffman codes 266 267 3.1. Introduction to prefix and Huffman coding 268 269 Prefix coding represents symbols from an a priori known alphabet 270 by bit sequences (codes), one code for each symbol, in a manner 271 such that different symbols may be represented by bit sequences of 272 different lengths, but a parser can always parse an encoded string 273 unambiguously symbol-by-symbol. 274 275 We define a prefix code in terms of a binary tree in which the two 276 edges descending from each non-leaf node are labeled 0 and 1 and 277 in which the leaf nodes correspond one-for-one with (are labeled 278 with) the symbols of the alphabet; then the code for a symbol is 279 the sequence of 0's and 1's on the edges leading from the root to 280 the leaf labeled with that symbol. For example: 281 282 /\ Symbol Code 283 0 1 ------ ---- 284 / \ A 00 285 /\ B B 1 286 0 1 C 011 287 / \ D 010 288 A /\ 289 0 1 290 / \ 291 D C 292 293 A parser can decode the next symbol from an encoded input stream 294 by walking down the tree from the root, at each step choosing the 295 edge corresponding to the next input bit. 296 297 Given an alphabet with known symbol frequencies, the Huffman 298 algorithm allows the construction of an optimal prefix code (one 299 which represents strings with those symbol frequencies using the 300 fewest bits of any possible prefix codes for that alphabet). Such 301 a code is called a Huffman code. (See reference [1] in Chapter 5, 302 references for additional information on Huffman codes.) 303 304 Note that in the "brotli" format, the Huffman codes for the 305 various alphabets must not exceed certain maximum code lengths. 306 This constraint complicates the algorithm for computing code 307 lengths from symbol frequencies. Again, see Chapter 5, references 308 for details. 309 310 3.2. Use of Huffman coding in the "brotli" format 311 312 The Huffman codes used for each alphabet in the "brotli" format 313 are canonical Huffman codes, which have two additional rules: 314 315 * All codes of a given bit length have lexicographically 316 consecutive values, in the same order as the symbols they 317 represent; 318 319 * Shorter codes lexicographically precede longer codes. 320 321 We could recode the example above to follow this rule as follows, 322 assuming that the order of the alphabet is ABCD: 323 324 Symbol Code 325 ------ ---- 326 A 10 327 B 0 328 C 110 329 D 111 330 331 I.e., 0 precedes 10 which precedes 11x, and 110 and 111 are 332 lexicographically consecutive. 333 334 Given this rule, we can define the canonical Huffman code for an 335 alphabet just by giving the bit lengths of the codes for each 336 symbol of the alphabet in order; this is sufficient to determine 337 the actual codes. In our example, the code is completely defined 338 by the sequence of bit lengths (2, 1, 3, 3). The following 339 algorithm generates the codes as integers, intended to be read 340 from most- to least-significant bit. The code lengths are 341 initially in tree[I].Len; the codes are produced in tree[I].Code. 342 343 1) Count the number of codes for each code length. Let 344 bl_count[N] be the number of codes of length N, N >= 1. 345 346 2) Find the numerical value of the smallest code for each 347 code length: 348 349 code = 0; 350 bl_count[0] = 0; 351 for (bits = 1; bits <= MAX_BITS; bits++) { 352 code = (code + bl_count[bits-1]) << 1; 353 next_code[bits] = code; 354 } 355 356 3) Assign numerical values to all codes, using consecutive 357 values for all codes of the same length with the base 358 values determined at step 2. Codes that are never used 359 (which have a bit length of zero) must not be assigned a 360 value. 361 362 for (n = 0; n <= max_code; n++) { 363 len = tree[n].Len; 364 if (len != 0) { 365 tree[n].Code = next_code[len]; 366 next_code[len]++; 367 } 368 } 369 370 Example: 371 372 Consider the alphabet ABCDEFGH, with bit lengths (3, 3, 3, 3, 3, 373 2, 4, 4). After step 1, we have: 374 375 N bl_count[N] 376 - ----------- 377 2 1 378 3 5 379 4 2 380 381 Step 2 computes the following next_code values: 382 383 N next_code[N] 384 - ------------ 385 1 0 386 2 0 387 3 2 388 4 14 389 390 Step 3 produces the following code values: 391 392 Symbol Length Code 393 ------ ------ ---- 394 A 3 010 395 B 3 011 396 C 3 100 397 D 3 101 398 E 3 110 399 F 2 00 400 G 4 1110 401 H 4 1111 402 403 3.3. Alphabet sizes 404 405 Huffman codes are used for different purposes in the "brotli" 406 format, and each purpose has a different alphabet size. For 407 literal codes the alphabet size is 256. For insert-and-copy 408 length codes the alphabet size is 704. For block length codes, 409 the alphabet size is 26. For distance codes, block type codes and 410 the Huffman codes used in compressing the context map, the 411 alphabet size is dynamic and is based on other parameters. 412 413 3.4. Simple Huffman codes 414 415 The first two bits of the compressed representation of each 416 Huffman code distinguishes between simple and complex Huffman 417 codes. If this value is 1, then a simple Huffman code follows. 418 Otherwise the value indicates the number of leading zeros. 419 420 A simple Huffman code can have only up to four symbols with non- 421 zero code length. The format of the simple Huffman code is as 422 follows: 423 424 2 bits: value of 1 indicates a simple Huffman code 425 2 bits: NSYM - 1, where NSYM = # of symbols with non-zero 426 code length 427 428 NSYM symbols, each encoded using ALPHABET_BITS bits 429 430 1 bit: tree-select, present only for NSYM = 4 431 432 The value of ALPHABET_BITS depends on the alphabet of the Huffman 433 code: it is the smallest number of bits that can represent all 434 symbols in the alphabet. E.g. for the alphabet of literal bytes, 435 ALPHABET_BITS is 8. The value of each of the NSYM symbols above is 436 the value of the ALPHABETS_BITS width machine integer representing 437 the symbol modulo the alphabet size of the Huffman code. 438 439 The (non-zero) code lengths of the symbols can be reconstructed as 440 follows: 441 442 * if NSYM = 1, the code length for the one symbol is one at 443 this stage, but only to distinguish it from the other zero 444 code length symbols, when encoding this symbol in the 445 compressed data stream using this Huffman code later, no 446 actual bits are emitted. Similarly, when decoding a symbol 447 using this Huffman code, no bits are read and the one symbol 448 is returned. 449 450 * if NSYM = 2, both symbols have code length 1. 451 452 * if NSYM = 3, the code lengths for the symbols are 1, 2, 2 in 453 the order they appear in the representation of the simple 454 Huffman code. 455 456 * if NSYM = 4, the code lengths (in order of symbols decoded) 457 depend on the tree-select bit: 2, 2, 2, 2, (tree-select bit 0) 458 or 1, 2, 3, 3 (tree-select bit 1). 459 460 3.5. Complex Huffman codes 461 462 A complex Huffman code is a canonical Huffman code, defined by the 463 sequence of code lengths, as discussed in Paragraph 3.2, above. 464 For even greater compactness, the code length sequences themselves 465 are compressed using a Huffman code. The alphabet for code lengths 466 is as follows: 467 468 0 - 15: Represent code lengths of 0 - 15 469 16: Copy the previous non-zero code length 3 - 6 times 470 The next 2 bits indicate repeat length 471 (0 = 3, ... , 3 = 6) 472 If this is the first code length, or all previous 473 code lengths are zero, a code length of 8 is 474 repeated 3 - 6 times 475 A repeated code length code of 16 modifies the 476 repeat count of the previous one as follows: 477 repeat count = (4 * (repeat count - 2)) + 478 (3 - 6 on the next 2 bits) 479 Example: Codes 7, 16 (+2 bits 11), 16 (+2 bits 10) 480 will expand to 22 code lengths of 7 481 (1 + 4 * (6 - 2) + 5) 482 17: Repeat a code length of 0 for 3 - 10 times. 483 (3 bits of length) 484 A repeated code length code of 17 modifies the 485 repeat count of the previous one as follows: 486 repeat count = (8 * (repeat count - 2)) + 487 (3 - 10 on the next 3 bits) 488 489 A code length of 0 indicates that the corresponding symbol in the 490 alphabet will not occur in the compressed data, and should not 491 participate in the Huffman code construction algorithm given 492 earlier. A complex Huffman code must have at least two non-zero 493 code lengths. 494 495 The bit lengths of the Huffman code over the code length alphabet 496 are compressed with the following static Huffman code: 497 498 Symbol Code 499 ------ ---- 500 0 00 501 1 1110 502 2 110 503 3 01 504 4 10 505 5 1111 506 507 We can now define the format of the complex Huffman code as 508 follows: 509 510 2 bits: HSKIP, values of 0, 2 or 3 represent the respective 511 number of leading zeros. (Value of 1 indicates the 512 Simple Huffman code.) 513 514 515 Code lengths for symbols in the code length alphabet given 516 just above, in the order: 1, 2, 3, 4, 0, 5, 17, 6, 16, 7, 517 8, 9, 10, 11, 12, 13, 14, 15 518 519 The code lengths of code length symbols are between 0 and 520 5 and they are represented with 2 - 5 bits according to 521 the static Huffman code above. A code length of 0 means 522 the corresponding code length symbol is not used. 523 524 If HSKIP is 2 or 3, a respective number of leading code 525 lengths are implicit zeros and are not present in the 526 code lengths sequence above. If there are at least two 527 non-zero code lengths, any trailing zero code lengths are 528 omitted, i.e. the last code length in the sequence must 529 be non-zero. In this case the sum of (32 >> code length) 530 over all the non-zero code lengths must equal to 32. 531 532 Sequence of code lengths symbols, encoded using the code 533 length Huffman code. Any trailing 0 or 17 must be 534 omitted, i.e. the last encoded code length symbol must be 535 between 1 and 16. The sum of (32768 >> code length) over 536 all the non-zero code lengths in the alphabet, including 537 those encoded using repeat code(s) of 16, must equal to 538 32768. 539 5404. Encoding of distances 541 542 As described in Section 2, one component of a compressed meta-block 543 is a sequence of backward distances. In this section we provide the 544 details to the encoding of distances. 545 546 Each distance in the compressed data part of a meta-block is 547 represented with a pair <distance code, extra bits>. The distance 548 code and the extra bits are encoded back-to-back, the distance code 549 is encoded using a Huffman code over the distance code alphabet, 550 while the extra bits value is encoded as a fixed-width machine 551 integer. The number of extra bits can be 0 - 24, and it is dependent 552 on the distance code. 553 554 To convert a distance code and associated extra bits to a backward 555 distance, we need the sequence of past distances and two additional 556 parameters, the number of "postfix bits", denoted by NPOSTFIX, and 557 the number of direct distance codes, denoted by NDIRECT. Both of 558 these parameters are encoded in the meta-block header. We will also 559 use the following derived parameter: 560 561 POSTFIX_MASK = ((1 << NPOSTFIX) - 1) 562 563 The first 16 distance codes are special short codes that reference 564 past distances as follows: 565 566 0: last distance 567 1: second last distance 568 2: third last distance 569 3: fourth last distance 570 4: last distance - 1 571 5: last distance + 1 572 6: last distance - 2 573 7: last distance + 2 574 8: last distance - 3 575 9: last distance + 3 576 10: second last distance - 1 577 11: second last distance + 1 578 12: second last distance - 2 579 13: second last distance + 2 580 14: second last distance - 3 581 15: second last distance + 3 582 583 The ring-buffer of four last distances is initialized by the values 584 16, 15, 11 and 4 (i.e. the fourth last is set to 16, the third last 585 to 15, the second last to 11 and the last distance to 4) at the 586 beginning of the *stream* (as opposed to the beginning of the meta- 587 block) and it is not reset at meta-block boundaries. When a distance 588 code 0 appears, the distance it represents (i.e. the last distance 589 in the sequence of distances) is not pushed to the ring-buffer of 590 last distances, in other words, the expression "(second, third, 591 fourth) last distance" means the (second, third, fourth) last 592 distance that was not represented by a 0 distance code. Similarly, 593 distances that represent static dictionary words (see Section 8.) are 594 not pushed to the ringbuffer of last distances. 595 596 The next NDIRECT distance codes, from 16 to 15 + NDIRECT, represent 597 distances from 1 to NDIRECT. Neither the distance short codes, nor 598 the NDIRECT direct distance codes have any extra bits. 599 600 Distance codes 16 + NDIRECT and greater all have extra bits, the 601 number of extra bits for a distance code "dcode" is given by the 602 following formula: 603 604 ndistbits = 1 + ((dcode - NDIRECT - 16) >> (NPOSTFIX + 1)) 605 606 The maximum number of extra bits is 24, therefore the size of the 607 distance code alphabet is (16 + NDIRECT + (48 << NPOSTFIX)). 608 609 Given a distance code "dcode" (>= 16 + NDIRECT), and extra bits 610 "dextra", the backward distance is given by the following formula: 611 612 hcode = (dcode - NDIRECT - 16) >> NPOSTFIX 613 lcode = (dcode - NDIRECT - 16) & POSTFIX_MASK 614 offset = ((2 + (hcode & 1)) << ndistbits) - 4; 615 distance = ((offset + dextra) << NPOSTFIX) + lcode + NDIRECT + 1 616 6175. Encoding of literal insertion lengths and copy lengths 618 619 As described in Section 2, the literal insertion lengths and backward 620 copy lengths are encoded using a single Huffman code. This section 621 provides the details to this encoding. 622 623 Each <insertion length, copy length> pair in the compressed data part 624 of a meta-block is represented with the following triplet: 625 626 <insert-and-copy length code, insert extra bits, copy extra bits> 627 628 The insert-and-copy length code, the insert extra bits and the copy 629 extra bits are encoded back-to-back, the insert-and-copy length code 630 is encoded using a Huffman code over the insert-and-copy length code 631 alphabet, while the extra bits values are encoded as fixed-width 632 machine integers. The number of insert and copy extra bits can be 633 0 - 24, and they are dependent on the insert-and-copy length code. 634 635 Some of the insert-and-copy length codes also express the fact that 636 the distance code of the distance in the same command is 0, i.e. the 637 distance component of the command is the same as that of the previous 638 command. In this case, the distance code and extra bits for the 639 distance are omitted from the compressed data stream. 640 641 We describe the insert-and-copy length code alphabet in terms of the 642 (not directly used) insert length code and copy length code 643 alphabets. The symbols of the insert length code alphabet, along with 644 the number of insert extra bits and the range of the insert lengths 645 are as follows: 646 647 Extra Extra Extra 648 Code Bits Lengths Code Bits Lengths Code Bits Lengths 649 ---- ---- ------ ---- ---- ------- ---- ---- ------- 650 0 0 0 8 2 10-13 16 6 130-193 651 1 0 1 9 2 14-17 17 7 194-321 652 2 0 2 10 3 18-25 18 8 322-577 653 3 0 3 11 3 26-33 19 9 578-1089 654 4 0 4 12 4 34-49 20 10 1090-2113 655 5 0 5 13 4 50-65 21 12 2114-6209 656 6 1 6,7 14 5 66-97 22 14 6210-22593 657 7 1 8,9 15 5 98-129 23 24 22594-16799809 658 659 The symbols of the copy length code alphabet, along with the number 660 of copy extra bits and the range of copy lengths are as follows: 661 662 Extra Extra Extra 663 Code Bits Lengths Code Bits Lengths Code Bits Lengths 664 ---- ---- ------ ---- ---- ------- ---- ---- ------- 665 0 0 2 8 1 10,11 16 5 70-101 666 1 0 3 9 1 12,13 17 5 102-133 667 2 0 4 10 2 14-17 18 6 134-197 668 3 0 5 11 2 18-21 19 7 198-325 669 4 0 6 12 3 22-29 20 8 326-581 670 5 0 7 13 3 30-37 21 9 582-1093 671 6 0 8 14 4 38-53 22 10 1094-2117 672 7 0 9 15 4 54-69 23 24 2118-16779333 673 674 To convert an insert-and-copy length code to an insert length code 675 and a copy length code, the following table can be used: 676 677 Insert 678 length Copy length code 679 code 0-7 8-15 16-23 680 +---------+---------+ 681 | | | 682 0-7 | 0-63 | 64-127 | <--- distance code 0 683 | | | 684 +---------+---------+---------+ 685 | | | | 686 0-7 | 128-191 | 192-255 | 384-447 | 687 | | | | 688 +---------+---------+---------+ 689 | | | | 690 8-15 | 256-319 | 320-383 | 512-575 | 691 | | | | 692 +---------+---------+---------+ 693 | | | | 694 16-23 | 448-511 | 576-639 | 640-703 | 695 | | | | 696 +---------+---------+---------+ 697 698 First, look up the cell with the 64 value range containing the 699 insert-and-copy length code, this gives the insert length code and 700 the copy length code ranges, both 8 values long. The copy length 701 code within its range is determined by the lowest 3 bits of the 702 insert-and-copy length code, and the insert length code within its 703 range is determined by bits 3-5 (counted from the LSB) of the insert- 704 and-copy length code. Given the insert length and copy length codes, 705 the actual insert and copy lengths can be obtained by reading the 706 number of extra bits given by the tables above. 707 708 If the insert-and-copy length code is between 0 and 127, the distance 709 code of the command is set to zero (the last distance reused). 710 7116. Encoding of block switch commands 712 713 As described in Section 2, a block-switch command is a pair 714 <block type, block length>. These are encoded in the compressed data 715 part of the meta-block, right before the start of each new block of a 716 particular block category. 717 718 Each block type in the compressed data is represented with a block 719 type code, encoded using a Huffman code over the block type code 720 alphabet. A block type code 0 means that the block type is the same 721 as the type of the second last block from the same block category, 722 while a block type code 1 means that the block type equals the last 723 block type plus one. If the last block type is the maximal possible, 724 then a block type code 1 means block type 0. Block type codes 2 - 257 725 represent block types 0 - 255. The second last and last block types 726 are initialized with 0 and 1, respectively, at the beginning of each 727 meta-block. 728 729 The first block type of each block category must be 0 and the block 730 type of the first block switch command is therefore not encoded in 731 the compressed data. 732 733 The number of different block types in each block category, denoted 734 by NBLTYPESL, NBLTYPESI, and NBLTYPESD for literals, insert-and-copy 735 lengths and distances, respectively, is encoded in the meta-block 736 header, and it must equal to the largest block type plus one in that 737 block category. In other words, the set of literal, insert-and-copy 738 length and distance block types must be [0..NBLTYPESL-1], 739 [0..NBLTYPESI-1], and [0..NBLTYPESD-1], respectively. From this it 740 follows that the alphabet size of literal, insert-and-copy length and 741 distance block type codes is NBLTYPES + 2, NBLTYPESI + 2 and 742 NBLTYPESD + 2, respectively. 743 744 Each block length in the compressed data is represented with a pair 745 <block length code, extra bits>. The block length code and the extra 746 bits are encoded back-to-back, the block length code is encoded using 747 a Huffman code over the block length code alphabet, while the extra 748 bits value is encoded as a fixed-width machine integer. The number of 749 extra bits can be 0 - 24, and it is dependent on the block length 750 code. The symbols of the block length code alphabet, along with the 751 number of extra bits and the range of block lengths are as follows: 752 753 Extra Extra Extra 754 Code Bits Lengths Code Bits Lengths Code Bits Lengths 755 ---- ---- ------ ---- ---- ------- ---- ---- ------- 756 0 2 1-4 9 4 65-80 18 7 369-496 757 1 2 5-8 10 4 81-96 19 8 497-752 758 2 2 9-12 11 4 97-112 20 9 753-1264 759 3 2 13-16 12 5 113-144 21 10 1265-2288 760 4 3 17-24 13 5 145-176 22 11 2289-4336 761 5 3 25-32 14 5 177-208 23 12 4337-8432 762 6 3 33-40 15 5 209-240 24 13 8433-16624 763 7 3 41-48 16 6 241-304 25 24 16625-16793840 764 8 4 49-64 17 6 305-368 765 766 The first block switch command of each block category is special in 767 the sense that it is encoded in the meta-block header, and as 768 described earlier the block type code is omitted, since it is an 769 implicit zero. 770 7717. Context modeling 772 773 As described in Section 2, the Huffman tree used to encode a literal 774 byte or a distance code depends on the context ID and the block type. 775 This section specifies how to compute the context ID for a particular 776 literal and distance code, and how to encode the context map that 777 maps a <context ID, block type> pair to the index of a Huffman 778 tree in the array of literal and distance Huffman trees. 779 780 7.1. Context modes and context ID lookup for literals 781 782 The context for encoding the next literal is defined by the last 783 two bytes in the stream (p1, p2, where p1 is the most recent 784 byte), regardless if these bytes are produced by backward 785 references or by literal insertions. 786 787 There are four methods, called context modes, to compute the 788 Context ID: 789 * MSB6, where the Context ID is the value of six most 790 significant bits of p1, 791 * LSB6, where the Context ID is the value of six least 792 significant bits of p1, 793 * UTF8, where the Context ID is a complex function of p1, p2, 794 optimized for text compression, and 795 * Signed, where Context ID is a complex function of p1, p2, 796 optimized for compressing sequences of signed integers. 797 798 The Context ID for the UTF8 and Signed context modes is computed 799 using the following lookup tables Lut0, Lut1, and Lut2. 800 801 Lut0 := 802 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 803 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 804 8, 12, 16, 12, 12, 20, 12, 16, 24, 28, 12, 12, 32, 12, 36, 12, 805 44, 44, 44, 44, 44, 44, 44, 44, 44, 44, 32, 32, 24, 40, 28, 12, 806 12, 48, 52, 52, 52, 48, 52, 52, 52, 48, 52, 52, 52, 52, 52, 48, 807 52, 52, 52, 52, 52, 48, 52, 52, 52, 52, 52, 24, 12, 28, 12, 12, 808 12, 56, 60, 60, 60, 56, 60, 60, 60, 56, 60, 60, 60, 60, 60, 56, 809 60, 60, 60, 60, 60, 56, 60, 60, 60, 60, 60, 24, 12, 28, 12, 0, 810 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 811 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 812 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 813 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 814 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 815 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 816 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 817 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 818 819 Lut1 := 820 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 821 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 822 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 823 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 824 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 825 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 826 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 827 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 0, 828 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 829 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 830 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 831 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 832 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 833 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 834 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 835 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 836 837 Lut2 := 838 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 839 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 840 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 841 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 842 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 843 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 844 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 845 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 846 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 847 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 848 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 849 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 850 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 851 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 852 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 853 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7 854 855 Given p1 is the last decoded byte and p2 is the second last 856 decoded byte the context IDs can be computed as follows: 857 858 For LSB6 : Context ID = p1 & 0x3f 859 For MSB6 : Context ID = p1 >> 2 860 For UTF8 : Context ID = Lut0[p1] | Lut1[p2] 861 For Signed: Context ID = (Lut2[p1] << 3) | Lut2[p2] 862 863 The context modes LSB6, MSB6, UTF8, and Signed are denoted by 864 integers 0, 1, 2, 3. 865 866 The context mode is defined for each literal block type and they 867 are stored in a consecutive array of bits in the meta-block 868 header, always two bits per block type. 869 870 7.2. Context ID for distances 871 872 The context for encoding a distance code is defined by the copy 873 length corresponding to the distance. The context IDs are 0, 1, 2, 874 and 3 for copy lengths 2, 3, 4, and more than 4, respectively. 875 876 7.3. Encoding of the context map 877 878 There are two kinds of context maps, for literals and for 879 distances. The size of the context map is 64 * NBLTYPESL for 880 literals, and 4 * NBLTYPESD for distances. Each value in the 881 context map is an integer between 0 and 255, indicating the index 882 of the Huffman tree to be used when encoding the next literal or 883 distance. 884 885 The context map is encoded as a one-dimensional array, 886 CMAPL[0..(64 * NBLTYPESL - 1)] and CMAPD[0..(4 * NBLTYPESD - 1)]. 887 888 The index of the Huffman tree for encoding a literal or distance 889 code with context ID "cid" and block type "bltype" is 890 891 index of literal Huffman tree = CMAPL[bltype * 64 + cid] 892 893 index of distance Huffman tree = CMAPD[bltype * 4 + cid] 894 895 The values of the context map are encoded with the combination 896 of run length encoding for zero values and Huffman coding. Let 897 RLEMAX denote the number of run length codes and NTREES denote the 898 maximum value in the context map plus one. NTREES must equal the 899 number of different values in the context map, in other words, 900 the different values in the context map must be the [0..NTREES-1] 901 interval. The alphabet of the Huffman code has the following 902 RLEMAX + NTREES symbols: 903 904 0: value zero 905 1: repeat a zero 2-3 times, read 1 bit for repeat length 906 2: repeat a zero 4-7 times, read 2 bits for repeat length 907 ... 908 RLEMAX: repeat a zero (2^RLEMAX)-(2^(RLEMAX+1) - 1) times, 909 read RLEMAX bits for repeat length 910 RLEMAX + 1: value 1 911 ... 912 RLEMAX + NTREES - 1: value NTREES - 1 913 914 If RLEMAX = 0, the run length coding is not used, and the symbols 915 of the alphabet are directly the values in the context map. We can 916 now define the format of the context map (the same format is used 917 for literal and distance context maps): 918 919 1-5 bits: RLEMAX, 0 is encoded with one 0 bit, and values 920 1 - 16 are encoded with bit pattern 1xxxx 921 922 Huffman code with alphabet size NTREES + RLEMAX 923 924 Context map size values encoded with the above Huffman code 925 and run length coding for zero values 926 927 1 bit: IMTF bit, if set, we do an inverse move-to-front 928 transform on the values in the context map to get 929 the Huffman code indexes 930 931 For the encoding of NTREES see Section 9.2. 932 9338. Static dictionary 934 935 At any given point during decoding the compressed data, a reference 936 to a duplicated string in the output produced so far has a maximum 937 backward distance value, which is the minimum of the window size and 938 the number of output bytes produced. However, decoding a distance 939 from the input stream, as described in section 4, can produce 940 distances that are greater than this maximum allowed value. The 941 difference between these distances and the first invalid distance 942 value is treated as reference to a word in the static dictionary 943 given in Appendix A. The maximum valid copy length for a static 944 dictionary reference is 24. The static dictionary has three parts: 945 946 * DICT[0..DICTSIZE], an array of bytes 947 * DOFFSET[0..24], an array of byte offset values for each length 948 * NDBITS[0..24], an array of bit-depth values for each length 949 950 The number of static dictionary words for a given length is: 951 952 NWORDS[length] = 0 (if length < 3) 953 NWORDS[length] = (1 << NDBITS[lengths]) (if length >= 3) 954 955 DOFFSET and DICTSIZE are defined by the following recursion: 956 957 DOFFSET[0] = 0 958 DOFFSET[length + 1] = DOFFSET[length] + length * NWORDS[length] 959 DICTSIZE = DOFFSET[24] + 24 * NWORDS[24] 960 961 The offset of a word within the DICT array for a given length and 962 index is: 963 964 offset(length, index) = DOFFSET[length] + index * length 965 966 Each static dictionary word has NTRANSFORMS different forms, given by 967 applying a word transformation to a base word in the DICT array. The 968 list of word transformations is given in Appendix B. The static 969 dictionary word for a <length, distance> pair can be reconstructed as 970 follows: 971 972 word_id = distance - (max allowed distance + 1) 973 index = word_id % NWORDS[length] 974 base_word = DICT[offset(length, index)..offset(length, index+1)) 975 transform_id = word_id >> NDBITS[length] 976 977 The string copied to the output stream is computed by applying the 978 transformation to the base dictionary word. If transform_id is 979 greater than NTRANSFORMS - 1 or length is greater than 24, the 980 compressed data set is invalid and must be discarded. 981 982 Each word transformation has the follwing form: 983 984 transform_i(word) = prefix_i + T_i(word) + suffix_i 985 986 where the _i subscript denotes the transform_id above. Each T_i 987 is one of the following 20 elementary transforms: 988 989 Identity, OmitLast1, ..., OmitLast9, UppercaseFirst, UppercaseAll, 990 OmitFirst1, ..., OmitFirst9 991 992 The form of these elementary transforms are as follows: 993 994 Identity(word) = word 995 996 OmitLastk(word) = the first (length(word) - k) bytes of word, or 997 empty string if length(word) < k 998 999 UppercaseFirst(word) = first UTF-8 character of word upper-cased 1000 1001 UppercaseAll(word) = all UTF-8 characters of word upper-cased 1002 1003 OmitFirstk(word) = the last (length(word) - k) bytes of word, or 1004 empty string if length(word) < k 1005 1006 For the purposes of UppercaseAll, word is parsed into UTF-8 1007 characters an coverted to upper-case by taking 1 - 3 bytes at a time, 1008 using the algorithm below: 1009 1010 i = 0 1011 while i < length(word): 1012 if word[i] < 192: 1013 if word[i] >= 97 and word[i] <= 122: 1014 word[i] = word[i] ^ 32 1015 i = i + 1 1016 else if word[i] < 224: 1017 if i + 1 < length(word): 1018 word[i + 1] = word[i + 1] ^ 32 1019 i = i + 2 1020 else: 1021 if i + 2 < length(word): 1022 word[i + 2] = word[i + 2] ^ 5 1023 i = i + 3 1024 1025 For UppercaseFirst, the same algorithm is used, but the loop is 1026 executed only once. 1027 1028 Appendix B. contains the list of transformations by specifying the 1029 prefix, elementary transform and suffix components of each of them. 1030 10319. Compressed data format 1032 1033 In this section we describe the format of the compressed data set in 1034 terms of the format of the individual data items described in the 1035 previous sections. 1036 1037 9.1. Format of the stream header 1038 1039 The stream header has only the following one field: 1040 1041 1-4 bits: WBITS, a value in the range 16 - 24, value 16 is 1042 encoded with one 0 bit, and values 17 - 24 are 1043 encoded with bit pattern 1xxx 1044 1045 The size of the sliding window, which is the maximum value of any 1046 non-dictionary reference backward distance, is given by the 1047 following formula: 1048 1049 window size = (1 << WBITS) - 16 1050 1051 9.2. Format of the meta-block header 1052 1053 A compliant compressed data set has at least one meta-block. Each 1054 meta-block contains a header with information about the 1055 uncompressed length of the meta-block, and a bit signaling if the 1056 meta-block is the last one. The format of the meta-block header is 1057 the following: 1058 1059 1 bit: ISLAST, set to 1 if this is the last meta-block 1060 1 bit: ISEMPTY, set to 1 if the meta-block is empty, this 1061 field is only present if ISLAST bit is set, since 1062 only the last meta-block can be empty 1063 2 bits: MNIBBLES - 4, where MNIBBLES is # of nibbles to 1064 represent the length 1065 1066 MNIBBLES x 4 bits: MLEN - 1, where MLEN is the length 1067 of the meta-block in the input data in bytes 1068 1069 1 bit: ISUNCOMPRESSED, if set to 1, any bits of input up to 1070 the next byte boundary are ignored, and the rest of 1071 the meta-block contains MLEN bytes of literal data; 1072 this field is only present if ISLAST bit is not set 1073 1074 1-11 bits: NBLTYPESL, # of literal block types, encoded with 1075 the following variable length code: 1076 1077 Value Bit Pattern 1078 ----- ----------- 1079 1 0 1080 2 1000 1081 3-4 1001x 1082 5-8 1010xx 1083 9-16 1011xxx 1084 17-32 1100xxxx 1085 33-64 1101xxxxx 1086 65-128 1110xxxxxx 1087 129-256 1111xxxxxxx 1088 1089 Huffman code over the block type code alphabet for literal 1090 block types, appears only if NBLTYPESL >= 2 1091 1092 Huffman code over the block length code alphabet for literal 1093 block lengths, appears only if NBLTYPESL >= 2 1094 1095 Block length code + Extra bits for first literal block 1096 length, appears only if NBLTYPESL >= 2 1097 1098 1-11 bits: NBLTYPESI, # of insert-and-copy block types, encoded 1099 with the same variable length code as above 1100 1101 Huffman code over the block type code alphabet for insert- 1102 and-copy block types, only if NBLTYPESI >= 2 1103 1104 Huffman code over the block length code alphabet for insert- 1105 and-copy block lengths, only if NBLTYPESI >= 2 1106 1107 Block length code + Extra bits for first insert-and-copy 1108 block length, only if NBLTYPESI >= 2 1109 1110 1-11 bits: NBLTYPESD, # of distance block types, encoded with 1111 the same variable length code as above 1112 1113 Huffman code over the block type code alphabet for distance 1114 block types, appears only if NBLTYPESD >= 2 1115 1116 Huffman code over the block length code alphabet for 1117 distance block lengths, only if NBLTYPESD >= 2 1118 1119 Block length code + Extra bits for first distance block 1120 length, only if NBLTYPESD >= 2 1121 1122 2 bits: NPOSTFIX, parameter used in the distance coding 1123 1124 4 bits: four most significant bits of NDIRECT, to get the 1125 actual value of the parameter NDIRECT, left-shift 1126 this four bit number by NPOSTFIX bits 1127 1128 NBLTYPESL x 2 bits: context mode for each literal block type 1129 1130 1-11 bits: NTREESL, # of literal Huffman trees, encoded with 1131 the same variable length code as NBLTYPESL 1132 1133 Literal context map, encoded as described in Paragraph 7.3, 1134 appears only if NTREESL >= 2, otherwise the context map 1135 has only zero values 1136 1137 1-11 bits: NTREESD, # of distance Huffman trees, encoded with 1138 the same variable length code as NBLTYPESD 1139 1140 Distance context map, encoded as described in Paragraph 7.3, 1141 appears only if NTREESD >= 2, otherwise the context map 1142 has only zero values 1143 1144 NTREESL Huffman codes for literals 1145 1146 NBLTYPESI Huffman codes for insert-and-copy lengths 1147 1148 NTREESD Huffman codes for distances 1149 1150 9.3. Format of the meta-block data 1151 1152 The compressed data part of a meta-block consists of a series of 1153 commands. Each command has the following format: 1154 1155 Block type code for next insert-and-copy block type, appears 1156 only if NBLTYPESI >= 2 and the previous insert-and-copy 1157 block has ended 1158 1159 Block length code + Extra bits for next insert-and-copy 1160 block length, appears only if NBLTYPESI >= 2 and the 1161 previous insert and-copy block has ended 1162 1163 Insert-and-copy length, encoded as in section 5, using the 1164 insert-and-copy length Huffman code with the current 1165 insert-and-copy block type index 1166 1167 Insert length number of literals, with the following format: 1168 1169 Block type code for next literal block type, appears 1170 only if NBLTYPESL >= 2 and the previous literal 1171 block has ended 1172 1173 Block length code + Extra bits for next literal block 1174 length, appears only if NBLTYPESL >= 2 and the 1175 previous literal block has ended 1176 1177 Next byte of the input data, encoded with the literal 1178 Huffman code with the index determined by the 1179 previuos two bytes of the input data, the current 1180 literal block type and the context map, as 1181 described in Paragraph 7.3. 1182 1183 Block type code for next distance block type, appears only 1184 if NBLTYPESD >= 2 and the previous distance block has 1185 ended 1186 1187 Block length code + Extra bits for next distance block 1188 length, appears only if NBLTYPESD >= 2 and the previous 1189 distance block has ended 1190 1191 Distance code, encoded as in section 4, using the distance 1192 Huffman code with the current distance block type index, 1193 appears only if the distance code is not an implicit 0, 1194 as indicated by the insert-and-copy length code 1195 1196 The number of commands in the meta-block is such that the sum of 1197 insert lengths and copy lengths over all the commands gives the 1198 uncompressed length, MLEN encoded in the meta-block header. 1199 120010. Decoding algorithm 1201 1202 The decoding algorithm that produces the output data is as follows: 1203 1204 read window size 1205 do 1206 read ISLAST bit 1207 if ISLAST 1208 read ISEMPTY bit 1209 if ISEMPTY 1210 break from loop 1211 read MLEN 1212 if not ISLAST 1213 read ISUNCOMPRESSED bit 1214 if ISUNCOMPRESSED 1215 skip any bits up to the next byte boundary 1216 copy MLEN bytes of input to the output stream 1217 continue to the next meta-block 1218 loop for each three block categories (i = L, I, D) 1219 read NBLTYPESi 1220 if NBLTYPESi >= 2 1221 read Huffman code for block types, HTREE_BTYPE_i 1222 read Huffman code for block lengths, HTREE_BLEN_i 1223 read block length, BLEN_i 1224 set block type, BTYPE_i to 0 1225 initialize second last and last block types to 0 and 1 1226 else 1227 set block type, BTYPE_i to 0 1228 set block length, BLEN_i to 268435456 1229 read NPOSTFIX and NDIRECT 1230 read array of literal context modes, CMODE[] 1231 read NTREESL 1232 if NTREESL >= 2 1233 read literal context map, CMAPL[] 1234 else 1235 fill CMAPL[] with zeros 1236 read NTREESD 1237 if NTREESD >= 2 1238 read distance context map, CMAPD[] 1239 else 1240 fill CMAPD[] with zeros 1241 read array of Huffman codes for literals, HTREEL[] 1242 read array of Huffman codes for insert-and-copy, HTREEI[] 1243 read array of Huffman codes for distances, HTREED[] 1244 do 1245 if BLEN_I is zero 1246 read block type using HTREE_BTYPE_I and set BTYPE_I 1247 read block length using HTREE_BLEN_I and set BLEN_I 1248 decrement BLEN_I 1249 read insert and copy length, ILEN, CLEN with HTREEI[BTYPE_I] 1250 loop for ILEN 1251 if BLEN_L is zero 1252 read block type using HTREE_BTYPE_L and set BTYPE_L 1253 read block length using HTREE_BLEN_L and set BLEN_L 1254 decrement BLEN_L 1255 look up context mode CMODE[BTYPE_L] 1256 compute context ID, CIDL from last two bytes of output 1257 read literal using HTREEL[CMAPL[64 * BTYPE_L + CIDL]] 1258 copy literal to output stream 1259 if number of output bytes produced in the loop is MLEN 1260 break from loop 1261 if distance code is implicit zero from insert-and-copy code 1262 set backward distance to the last distance 1263 else 1264 if BLEN_D is zero 1265 read block type using HTREE_BTYPE_D and set BTYPE_D 1266 read block length using HTREE_BLEN_D and set BLEN_D 1267 decrement BLEN_D 1268 compute context ID, CIDD from CLEN 1269 read distance code with HTREED[CMAPD[4 * BTYPE_D + CIDD]] 1270 compute distance by distance short code substitution 1271 move backwards distance bytes in the output stream, and 1272 copy CLEN bytes from this position to the output stream, 1273 or look up the static dictionary word and copy it to the 1274 output stram 1275 while number of output bytes produced in the loop < MLEN 1276 while not ISLAST 1277 1278 Note that a duplicated string reference may refer to a string in a 1279 previous meta-block, i.e. the backward distance may cross one or 1280 more meta-block boundaries. However a backward copy distance 1281 cannot refer past the beginning of the output stream and it can 1282 not be greater than the window size; any such distance must be 1283 interpreted as a reference to a static dictionary word. Also note 1284 that the referenced string may overlap the current position, for 1285 example, if the last 2 bytes decoded have values X and Y, a string 1286 reference with <length = 5, distance = 2> adds X,Y,X,Y,X to the 1287 output stream. 1288 128911. References 1290 1291 [1] Huffman, D. A., "A Method for the Construction of Minimum 1292 Redundancy Codes", Proceedings of the Institute of Radio 1293 Engineers, September 1952, Volume 40, Number 9, pp. 1098-1101. 1294 1295 [2] Ziv J., Lempel A., "A Universal Algorithm for Sequential Data 1296 Compression", IEEE Transactions on Information Theory, Vol. 23, 1297 No. 3, pp. 337-343. 1298 1299 [3] Deutsch, P., "DEFLATE Compressed Data Format Specification 1300 version 1.3", RFC 1951, Aladdin Enterprises, May 1996. 1301 http://www.ietf.org/rfc/rfc1951.txt 1302 130312. Source code 1304 1305 Source code for a C language implementation of a "brotli" compliant 1306 decompressor and a C++ language implementation of a compressor is 1307 available in the brotli/ directory within the font-compression- 1308 reference open-source project: 1309 https://code.google.com/p/font-compression-reference/source/browse/ 1310 1311Appendix A. Static dictionary data 1312 1313 The hexadecimal form of the DICT array is the following: 1314 1315 74696d65646f776e6c6966656c6566746261636b636f64656461746173686f77 1316 6f6e6c7973697465636974796f70656e6a7573746c696b6566726565776f726b 1317 74657874796561726f766572626f64796c6f7665666f726d626f6f6b706c6179 1318 6c6976656c696e6568656c70686f6d65736964656d6f7265776f72646c6f6e67 1319 7468656d7669657766696e64706167656461797366756c6c686561647465726d 1320 656163686172656166726f6d747275656d61726b61626c6575706f6e68696768 1321 646174656c616e646e6577736576656e6e65787463617365626f7468706f7374 1322 757365646d61646568616e6468657265776861746e616d654c696e6b626c6f67 1323 73697a656261736568656c646d616b656d61696e757365722729202b686f6c64 1324 656e6473776974684e65777372656164776572657369676e74616b6568617665 1325 67616d657365656e63616c6c7061746877656c6c706c75736d656e7566696c6d 1326 706172746a6f696e746869736c697374676f6f646e6565647761797377657374 1327 6a6f62736d696e64616c736f6c6f676f72696368757365736c6173747465616d 1328 61726d79666f6f646b696e6777696c6c65617374776172646265737466697265 1329 506167656b6e6f77617761792e706e676d6f76657468616e6c6f616467697665 1330 73656c666e6f74656d756368666565646d616e79726f636b69636f6e6f6e6365 1331 6c6f6f6b6869646564696564486f6d6572756c65686f7374616a6178696e666f 1332 636c75626c6177736c65737368616c66736f6d65737563687a6f6e6531303025 1333 6f6e65736361726554696d6572616365626c7565666f75727765656b66616365 1334 686f706567617665686172646c6f73747768656e7061726b6b65707470617373 1335 73686970726f6f6d48544d4c706c616e54797065646f6e65736176656b656570 1336 666c61676c696e6b736f6c6466697665746f6f6b72617465746f776e6a756d70 1337 746875736461726b6361726466696c6566656172737461796b696c6c74686174 1338 66616c6c6175746f657665722e636f6d74616c6b73686f70766f746564656570 1339 6d6f6465726573747475726e626f726e62616e6466656c6c726f736575726c28 1340 736b696e726f6c65636f6d6561637473616765736d656574676f6c642e6a7067 1341 6974656d7661727966656c747468656e73656e6464726f7056696577636f7079 1342 312e30223c2f613e73746f70656c73656c696573746f75727061636b2e676966 1343 706173746373733f677261796d65616e2667743b7269646573686f746c617465 1344 73616964726f6164766172206665656c6a6f686e7269636b706f727466617374 1345 2755412d646561643c2f623e706f6f7262696c6c74797065552e532e776f6f64 1346 6d7573743270783b496e666f72616e6b7769646577616e7477616c6c6c656164 1347 5b305d3b7061756c776176657375726524282723776169746d61737361726d73 1348 676f65736761696e6c616e6770616964212d2d206c6f636b756e6974726f6f74 1349 77616c6b6669726d77696665786d6c22736f6e6774657374323070786b696e64 1350 726f7773746f6f6c666f6e746d61696c73616665737461726d617073636f7265 1351 7261696e666c6f77626162797370616e736179733470783b3670783b61727473 1352 666f6f747265616c77696b696865617473746570747269706f72672f6c616b65 1353 7765616b746f6c64466f726d6361737466616e7362616e6b7665727972756e73 1354 6a756c797461736b3170783b676f616c67726577736c6f776564676569643d22 1355 736574733570783b2e6a733f3430707869662028736f6f6e736561746e6f6e65 1356 747562657a65726f73656e747265656466616374696e746f676966746861726d 1357 3138707863616d6568696c6c626f6c647a6f6f6d766f69646561737972696e67 1358 66696c6c7065616b696e6974636f73743370783b6a61636b7461677362697473 1359 726f6c6c656469746b6e65776e6561723c212d2d67726f774a534f4e64757479 1360 4e616d6573616c65796f75206c6f74737061696e6a617a7a636f6c6465796573 1361 666973687777772e7269736b7461627370726576313070787269736532357078 1362 426c756564696e673330302c62616c6c666f72646561726e77696c64626f782e 1363 666169726c61636b76657273706169726a756e6574656368696628217069636b 1364 6576696c242822237761726d6c6f7264646f657370756c6c2c30303069646561 1365 647261776875676573706f7466756e646275726e6872656663656c6c6b657973 1366 7469636b686f75726c6f73736675656c31327078737569746465616c52535322 1367 6167656467726579474554226561736561696d736769726c616964733870783b 1368 6e617679677269647469707323393939776172736c61647963617273293b207d 1369 7068703f68656c6c74616c6c77686f6d7a683ae52a2f0d0a2031303068616c6c 1370 2e0a0a413770783b70757368636861743070783b637265772a2f3c2f68617368 1371 37357078666c6174726172652026262074656c6c63616d706f6e746f6c616964 1372 6d697373736b697074656e7466696e656d616c6567657473706c6f743430302c 1373 0d0a0d0a636f6f6c666565742e7068703c62723e657269636d6f737467756964 1374 62656c6c64657363686169726d61746861746f6d2f696d67262338326c75636b 1375 63656e743030303b74696e79676f6e6568746d6c73656c6c6472756746524545 1376 6e6f64656e69636b3f69643d6c6f73656e756c6c7661737477696e6452535320 1377 7765617272656c796265656e73616d6564756b656e6173616361706577697368 1378 67756c665432333a68697473736c6f74676174656b69636b626c757274686579 1379 313570782727293b293b223e6d73696577696e7362697264736f727462657461 1380 7365656b5431383a6f726473747265656d616c6c363070786661726de2809973 1381 626f79735b305d2e27293b22504f5354626561726b696473293b7d7d6d617279 1382 74656e6428554b29717561647a683ae62d73697a2d2d2d2d70726f7027293b0d 1383 6c6966745431393a76696365616e6479646562743e525353706f6f6c6e65636b 1384 626c6f775431363a646f6f726576616c5431373a6c6574736661696c6f72616c 1385 706f6c6c6e6f7661636f6c7367656e6520e28094736f6674726f6d6574696c6c 1386 726f73733c68333e706f75726661646570696e6b3c74723e6d696e69297c2128 1387 6d696e657a683ae862617273686561723030293b6d696c6b202d2d3e69726f6e 1388 667265646469736b77656e74736f696c707574732f6a732f686f6c795432323a 1389 4953424e5432303a6164616d736565733c68323e6a736f6e272c2027636f6e74 1390 5432313a205253536c6f6f70617369616d6f6f6e3c2f703e736f756c4c494e45 1391 666f7274636172745431343a3c68313e38307078212d2d3c3970783b5430343a 1392 6d696b653a34365a6e696365696e6368596f726b726963657a683ae42729293b 1393 707572656d61676570617261746f6e65626f6e643a33375a5f6f665f275d293b 1394 3030302c7a683ae774616e6b79617264626f776c627573683a35365a4a617661 1395 333070780a7c7d0a254333253a33345a6a656666455850496361736876697361 1396 676f6c66736e6f777a683ae9717565722e6373737369636b6d6561746d696e2e 1397 62696e6464656c6c686972657069637372656e743a33365a485454502d323031 1398 666f746f776f6c66454e442078626f783a35345a424f44596469636b3b0a7d0a 1399 657869743a33355a7661727362656174277d293b646965743939393b616e6e65 1400 7d7d3c2f5b695d2e4c616e676b6dc2b277697265746f7973616464737365616c 1401 616c65783b0a097d6563686f6e696e652e6f726730303529746f6e796a657773 1402 73616e646c656773726f6f66303030292032303077696e6567656172646f6773 1403 626f6f74676172796375747374796c6574656d7074696f6e2e786d6c636f636b 1404 67616e672428272e3530707850682e446d697363616c616e6c6f616e6465736b 1405 6d696c657279616e756e697864697363293b7d0a64757374636c6970292e0a0a 1406 373070782d32303044564473375d3e3c7461706564656d6f692b2b2977616765 1407 6575726f7068696c6f707473686f6c65464151736173696e2d3236546c616273 1408 7065747355524c2062756c6b636f6f6b3b7d0d0a484541445b305d2961626272 1409 6a75616e283139386c6573687477696e3c2f693e736f6e79677579736675636b 1410 706970657c2d0a21303032296e646f775b315d3b5b5d3b0a4c6f672073616c74 1411 0d0a090962616e677472696d62617468297b0d0a303070780a7d293b6b6f3aec 1412 6665657361643e0d733a2f2f205b5d3b746f6c6c706c756728297b0a7b0d0a20 1413 2e6a7327323030706475616c626f61742e4a5047293b0a7d71756f74293b0a0a 1414 27293b0a0d0a7d0d323031343230313532303136323031373230313832303139 1415 3230323032303231323032323230323332303234323032353230323632303237 1416 3230323832303239323033303230333132303332323033333230333432303335 1417 3230333632303337323031333230313232303131323031303230303932303038 1418 3230303732303036323030353230303432303033323030323230303132303030 1419 3139393931393938313939373139393631393935313939343139393331393932 1420 3139393131393930313938393139383831393837313938363139383531393834 1421 3139383331393832313938313139383031393739313937383139373731393736 1422 3139373531393734313937333139373231393731313937303139363931393638 1423 3139363731393636313936353139363431393633313936323139363131393630 1424 3139353931393538313935373139353631393535313935343139353331393532 1425 31393531313935303130303031303234313339343030303039393939636f6d6f 1426 6dc3a17365737465657374617065726f746f646f686163656361646161c3b16f 1427 6269656e64c3ad616173c3ad766964616361736f6f74726f666f726f736f6c6f 1428 6f7472616375616c64696a6f7369646f6772616e7469706f74656d6164656265 1429 616c676f7175c3a96573746f6e61646174726573706f636f6361736162616a6f 1430 746f646173696e6f6167756170756573756e6f73616e7465646963656c756973 1431 656c6c616d61796f7a6f6e61616d6f727069736f6f627261636c6963656c6c6f 1432 64696f73686f726163617369d0b7d0b0d0bdd0b0d0bed0bcd180d0b0d180d183 1433 d182d0b0d0bdd0b5d0bfd0bed0bed182d0b8d0b7d0bdd0bed0b4d0bed182d0be 1434 d0b6d0b5d0bed0bdd0b8d185d09dd0b0d0b5d0b5d0b1d18bd0bcd18bd092d18b 1435 d181d0bed0b2d18bd0b2d0bed09dd0bed0bed0b1d09fd0bed0bbd0b8d0bdd0b8 1436 d0a0d0a4d09dd0b5d09cd18bd182d18bd09ed0bdd0b8d0bcd0b4d0b0d097d0b0 1437 d094d0b0d09dd183d09ed0b1d182d0b5d098d0b7d0b5d0b9d0bdd183d0bcd0bc 1438 d0a2d18bd183d0b6d981d98ad8a3d986d985d8a7d985d8b9d983d984d8a3d988 1439 d8b1d8afd98ad8a7d981d989d987d988d984d985d984d983d8a7d988d984d987 1440 d8a8d8b3d8a7d984d8a5d986d987d98ad8a3d98ad982d8afd987d984d8abd985 1441 d8a8d987d984d988d984d98ad8a8d984d8a7d98ad8a8d983d8b4d98ad8a7d985 1442 d8a3d985d986d8aad8a8d98ad984d986d8add8a8d987d985d985d8b4d988d8b4 1443 6669727374766964656f6c69676874776f726c646d656469617768697465636c 1444 6f7365626c61636b7269676874736d616c6c626f6f6b73706c6163656d757369 1445 636669656c646f72646572706f696e7476616c75656c6576656c7461626c6562 1446 6f617264686f75736567726f7570776f726b7379656172737374617465746f64 1447 6179776174657273746172747374796c656465617468706f77657270686f6e65 1448 6e696768746572726f72696e70757461626f75747465726d737469746c65746f 1449 6f6c736576656e746c6f63616c74696d65736c61726765776f72647367616d65 1450 7373686f72747370616365666f637573636c6561726d6f64656c626c6f636b67 1451 75696465726164696f7368617265776f6d656e616761696e6d6f6e6579696d61 1452 67656e616d6573796f756e676c696e65736c61746572636f6c6f72677265656e 1453 66726f6e7426616d703b7761746368666f726365707269636572756c65736265 1454 67696e616674657276697369746973737565617265617362656c6f77696e6465 1455 78746f74616c686f7572736c6162656c7072696e7470726573736275696c746c 1456 696e6b73737065656473747564797472616465666f756e6473656e7365756e64 1457 657273686f776e666f726d7372616e676561646465647374696c6c6d6f766564 1458 74616b656e61626f7665666c61736866697865646f6674656e6f746865727669 1459 657773636865636b6c6567616c72697665726974656d73717569636b73686170 1460 6568756d616e6578697374676f696e676d6f7669657468697264626173696370 1461 65616365737461676577696474686c6f67696e696465617377726f7465706167 1462 65737573657273647269766573746f7265627265616b736f757468766f696365 1463 73697465736d6f6e746877686572656275696c6477686963686561727468666f 1464 72756d746872656573706f72747061727479436c69636b6c6f7765726c697665 1465 73636c6173736c61796572656e74727973746f72797573616765736f756e6463 1466 6f757274796f7572206269727468706f70757074797065736170706c79496d61 1467 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74796c654c6f67696e68617070796f636375726c6566743a6672657368717569 1482 746566696c6d7367726164656e65656473757262616e66696768746261736973 1483 686f7665726175746f3b726f7574652e68746d6c6d6978656466696e616c596f 1484 757220736c696465746f70696362726f776e616c6f6e65647261776e73706c69 1485 747265616368526967687464617465736d6172636871756f7465676f6f64734c 1486 696e6b73646f7562746173796e637468756d62616c6c6f776368696566796f75 1487 74686e6f76656c313070783b7365727665756e74696c68616e6473436865636b 1488 537061636571756572796a616d6573657175616c7477696365302c3030305374 1489 61727470616e656c736f6e6773726f756e6465696768747368696674776f7274 1490 68706f7374736c656164737765656b7361766f696474686573656d696c657370 1491 6c616e65736d617274616c706861706c616e746d61726b737261746573706c61 1492 7973636c61696d73616c65737465787473737461727377726f6e673c2f68333e 1493 7468696e672e6f72672f6d756c74696865617264506f7765727374616e64746f 1494 6b656e736f6c696428746869736272696e677368697073737461666674726965 1495 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7970653d22746578742f637373223e0a0a3c7374796c6520747970653d227465 5136 78742f637373223e696f6e616c2e647464223e0a3c68746d6c20786d6c6e733d 5137 687474702d65717569763d22436f6e74656e742d5479706564696e673d223022 5138 2063656c6c73706163696e673d22302268746d6c3b20636861727365743d7574 5139 662d3822202f3e0a207374796c653d22646973706c61793a6e6f6e653b223e3c 5140 3c6c693e3c6120687265663d22687474703a2f2f7777772e20747970653d2774 5141 6578742f6a617661736372697074273ed0b4d0b5d18fd182d0b5d0bbd18cd0bd 5142 d0bed181d182d0b8d181d0bed0bed182d0b2d0b5d182d181d182d0b2d0b8d0b8 5143 d0bfd180d0bed0b8d0b7d0b2d0bed0b4d181d182d0b2d0b0d0b1d0b5d0b7d0be 5144 d0bfd0b0d181d0bdd0bed181d182d0b8e0a4aae0a581e0a4b8e0a58de0a4a4e0 5145 a4bfe0a495e0a4bee0a495e0a4bee0a482e0a497e0a58de0a4b0e0a587e0a4b8 5146 e0a489e0a4a8e0a58de0a4b9e0a58be0a482e0a4a8e0a587e0a4b5e0a4bfe0a4 5147 a7e0a4bee0a4a8e0a4b8e0a4ade0a4bee0a4abe0a4bfe0a495e0a58de0a4b8e0 5148 a4bfe0a482e0a497e0a4b8e0a581e0a4b0e0a495e0a58de0a4b7e0a4bfe0a4a4 5149 e0a495e0a589e0a4aae0a580e0a4b0e0a4bee0a487e0a49fe0a4b5e0a4bfe0a4 5150 9ce0a58de0a49ee0a4bee0a4aae0a4a8e0a495e0a4bee0a4b0e0a58de0a4b0e0 5151 a4b5e0a4bee0a488e0a4b8e0a495e0a58de0a4b0e0a4bfe0a4afe0a4a4e0a4be 5152 5153 The number of words for each length is given by the following bit- 5154 depth array: 5155 5156 NDBITS := 0, 0, 0, 0, 10, 10, 11, 11, 10, 10, 5157 10, 10, 10, 9, 9, 8, 7, 7, 8, 7, 5158 7, 6, 6, 5, 5, 5159 5160Appendix B. List of word transformations 5161 5162 ID Prefix Transform Suffix 5163 -- ------ --------- ------ 5164 0 "" Identity "" 5165 1 "" Identity " " 5166 2 " " Identity " " 5167 3 "" OmitFirst1 "" 5168 4 "" UppercaseFirst " " 5169 5 "" Identity " the " 5170 6 " " Identity "" 5171 7 "s " Identity " " 5172 8 "" Identity " of " 5173 9 "" UppercaseFirst "" 5174 10 "" Identity " and " 5175 11 "" OmitFirst2 "" 5176 12 "" OmitLast1 "" 5177 13 ", " Identity " " 5178 14 "" Identity ", " 5179 15 " " UppercaseFirst " " 5180 16 "" Identity " in " 5181 17 "" Identity " to " 5182 18 "e " Identity " " 5183 19 "" Identity "\"" 5184 20 "" Identity "." 5185 21 "" Identity "\">" 5186 22 "" Identity "\n" 5187 23 "" OmitLast3 "" 5188 24 "" Identity "]" 5189 25 "" Identity " for " 5190 26 "" OmitFirst3 "" 5191 27 "" OmitLast2 "" 5192 28 "" Identity " a " 5193 29 "" Identity " that " 5194 30 " " UppercaseFirst "" 5195 31 "" Identity ". " 5196 32 "." Identity "" 5197 33 " " Identity ", " 5198 34 "" OmitFirst4 "" 5199 35 "" Identity " with " 5200 36 "" Identity "'" 5201 37 "" Identity " from " 5202 38 "" Identity " by " 5203 39 "" OmitFirst5 "" 5204 40 "" OmitFirst6 "" 5205 41 " the " Identity "" 5206 42 "" OmitLast4 "" 5207 43 "" Identity ". The " 5208 44 "" UppercaseAll "" 5209 45 "" Identity " on " 5210 46 "" Identity " as " 5211 47 "" Identity " is " 5212 48 "" OmitLast7 "" 5213 49 "" OmitLast1 "ing " 5214 50 "" Identity "\n\t" 5215 51 "" Identity ":" 5216 52 " " Identity ". " 5217 53 "" Identity "ed " 5218 54 "" OmitFirst9 "" 5219 55 "" OmitFirst7 "" 5220 56 "" OmitLast6 "" 5221 57 "" Identity "(" 5222 58 "" UppercaseFirst ", " 5223 59 "" OmitLast8 "" 5224 60 "" Identity " at " 5225 61 "" Identity "ly " 5226 62 " the " Identity " of " 5227 63 "" OmitLast5 "" 5228 64 "" OmitLast9 "" 5229 65 " " UppercaseFirst ", " 5230 66 "" UppercaseFirst "\"" 5231 67 "." Identity "(" 5232 68 "" UppercaseAll " " 5233 69 "" UppercaseFirst "\">" 5234 70 "" Identity "=\"" 5235 71 " " Identity "." 5236 72 ".com/" Identity "" 5237 73 " the " Identity " of the " 5238 74 "" UppercaseFirst "'" 5239 75 "" Identity ". This " 5240 76 "" Identity "," 5241 77 "." Identity " " 5242 78 "" UppercaseFirst "(" 5243 79 "" UppercaseFirst "." 5244 80 "" Identity " not " 5245 81 " " Identity "=\"" 5246 82 "" Identity "er " 5247 83 " " UppercaseAll " " 5248 84 "" Identity "al " 5249 85 " " UppercaseAll "" 5250 86 "" Identity "='" 5251 87 "" UppercaseAll "\"" 5252 88 "" UppercaseFirst ". " 5253 89 " " Identity "(" 5254 90 "" Identity "ful " 5255 91 " " UppercaseFirst ". " 5256 92 "" Identity "ive " 5257 93 "" Identity "less " 5258 94 "" UppercaseAll "'" 5259 95 "" Identity "est " 5260 96 " " UppercaseFirst "." 5261 97 "" UppercaseAll "\">" 5262 98 " " Identity "='" 5263 99 "" UppercaseFirst "," 5264 100 "" Identity "ize " 5265 101 "" UppercaseAll "." 5266 102 "\xc2\xa0" Identity "" 5267 103 " " Identity "," 5268 104 "" UppercaseFirst "=\"" 5269 105 "" UppercaseAll "=\"" 5270 106 "" Identity "ous " 5271 107 "" UppercaseAll ", " 5272 108 "" UppercaseFirst "='" 5273 109 " " UppercaseFirst "," 5274 110 " " UppercaseAll "=\"" 5275 111 " " UppercaseAll ", " 5276 112 "" UppercaseAll "," 5277 113 "" UppercaseAll "(" 5278 114 "" UppercaseAll ". " 5279 115 " " UppercaseAll "." 5280 116 "" UppercaseAll "='" 5281 117 " " UppercaseAll ". " 5282 118 " " UppercaseFirst "=\"" 5283 119 " " UppercaseAll "='" 5284 120 " " UppercaseFirst "='" 5285